Calculus Examples

$\sec (x) - 1$

Step 1

By the Sum Rule, the derivative of $\sec (x) - 1$ with respect to $x$ is $\frac{d}{d x} [\sec (x)] + \frac{d}{d x} [- 1]$ .

$\frac{d}{d x} [\sec (x)] + \frac{d}{d x} [- 1]$

Step 2

The derivative of $\sec (x)$ with respect to $x$ is $\sec (x) \tan (x)$ .

$\sec (x) \tan (x) + \frac{d}{d x} [- 1]$

Step 3

Differentiate using the Constant Rule.

Tap for more steps...

Step 3.1

Since $- 1$ is constant with respect to $x$ , the derivative of $- 1$ with respect to $x$ is $0$ .

$\sec (x) \tan (x) + 0$

Step 3.2

Add $\sec (x) \tan (x)$ and $0$ .

$\sec (x) \tan (x)$